{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Local Variational Methods\n",
    "\n",
    "An alternative 'local' approach to a variational approximation which involves finding bounds on functions over individual variables or groups of variables within a model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = \"retina\"\n",
    "plt.rcParams[\"figure.figsize\"] = (8, 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A first example $f(x) = \\exp(-x)$\n",
    "\n",
    "$$\n",
    "    f(x) = \\max_{\\eta}\\left\\{\\eta x - \\eta + \\eta\\log(-\\eta)\\right\\}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(x):\n",
    "    return np.exp(-x)\n",
    "\n",
    "\n",
    "def f_linear(x, η):\n",
    "    \"\"\"\n",
    "    First order linear approximation to exp(-x)\n",
    "    \n",
    "    Parameters\n",
    "    ----------\n",
    "    x: float\n",
    "        Evaluation point\n",
    "    η: float\n",
    "        η := -exp(-x)\n",
    "    \"\"\"\n",
    "    return η * x - η + η * np.log(-η)\n",
    "\n",
    "\n",
    "def f_prime(f, x, eps=1e-8):\n",
    "    return (f(x + eps) - f(x)) / eps\n",
    "\n",
    "\n",
    "def gradient_descent(f, xinit, eps=1e-5, alpha=0.01):\n",
    "    delta = np.inf\n",
    "    x_star = xinit\n",
    "    while delta > eps:\n",
    "        grad_eta = f_prime(f, x_star)\n",
    "        x_star_new = x_star - alpha * grad_eta\n",
    "        delta = abs(x_star_new / x_star - 1)\n",
    "        x_star = x_star_new\n",
    "    \n",
    "    return x_star"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 266,
       "width": 500
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xlower = np.linspace(-10, 10)\n",
    "etas = np.arange(-0.1, -10, -0.2)\n",
    "xrange = -4 + 10 ** np.linspace(0, 1)\n",
    "    \n",
    "eta_init, alpha = -0.1, 1e-3\n",
    "eta_collection = []\n",
    "for x in xrange[::2]:\n",
    "    eta_hat = gradient_descent(lambda eta: -f_linear(x, eta), eta_init, alpha=alpha)\n",
    "    plt.scatter(x, f_linear(x, eta_hat), c=\"tab:red\")\n",
    "    eta_collection.append(eta_hat)\n",
    "    \n",
    "for eta in eta_collection:\n",
    "    plt.plot(xlower, f_linear(xlower, eta), alpha=0.3, c=\"tab:gray\")\n",
    "\n",
    "    \n",
    "plt.plot(xrange, f(xrange), linewidth=2)\n",
    "\n",
    "plt.ylim(-10, 20)\n",
    "plt.xlim(-10, 10)\n",
    "plt.title(\"Tangent (lower-bound) Approximation to $\\exp(x)$\", fontsize=15)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The logistic sigmoid (Upper Bound)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sigmoid(x):\n",
    "    return 1 / (1 + np.exp(-x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 542
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xrange = np.linspace(-5, 5, 30)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax2 = ax.twinx()\n",
    "l1 = ax.plot(xrange, sigmoid(xrange), label=\"sigmoid\")\n",
    "l2 = ax2.plot(xrange, np.log(sigmoid(xrange)), c=\"tab:orange\", label=\"log-sigmoid\")\n",
    "lines = l1 + l2\n",
    "labels = [l.get_label() for l in lines]\n",
    "ax.legend(lines, labels, loc=0, fontsize=12)\n",
    "ax.set_ylabel(r\"$\\sigma(x)$\", fontsize=13)\n",
    "ax2.set_ylabel(r\"$\\log(\\sigma(x))$\", fontsize=13);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Upper bound approximation "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def g(η):\n",
    "    return - η * np.log(η) - (1 - η) * np.log(1 - η)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "etas = np.linspace(0.01, 0.99, 20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 266,
       "width": 483
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(xrange, sigmoid(xrange))\n",
    "\n",
    "for eta in etas:\n",
    "    plt.plot(xrange, np.exp(eta * xrange - g(eta)), c=\"tab:gray\", alpha=0.3)\n",
    "plt.ylim(0, 1.1)\n",
    "plt.xlim(-5, 5)\n",
    "plt.title(\"Tangent (upper-bound) Approximation to $\\sigma(x)$\", fontsize=15)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Logistic Sigmoid (Lower Bound)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "$$\n",
    "\\frac{d}{dx} f(x) = \\frac{d}{dx} -\\log\\left(e^{x/2} + e^{-x/2}\\right)\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 269,
       "width": 568
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(x):\n",
    "    return -np.log(np.exp(x / 2) + np.exp(-x / 2))\n",
    "\n",
    "def f2p(x):\n",
    "    return (np.tanh(x / 2) ** 2 - 1) / 4\n",
    "\n",
    "xrange = np.linspace(-5, 5, 100)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax2 = ax.twinx()\n",
    "l1 = ax.plot(xrange, f(xrange), label=\"$f(x)$\")\n",
    "l2 = ax2.plot(xrange, f2p(xrange), label=\"$f''(x)$\", c=\"tab:orange\")\n",
    "lines = l1 + l2\n",
    "labels = [l.get_label() for l in lines]\n",
    "plt.legend(lines, labels, fontsize=12)\n",
    "ax.set_title(r\"$f(x) =-\\log\\left(e^{x/2} + e^{-x/2}\\right)$\", fontsize=15)\n",
    "ax.set_ylabel(\"f(x)\", fontsize=12)\n",
    "ax2.set_ylabel(\"f''(x)\", fontsize=12);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\frac{d}{dx^2} f(x) = \\frac{d}{dx^2} -\\log\\left(e^{x/2} + e^{-x/2}\\right)\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 521
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(x):\n",
    "    return -np.log(np.exp(np.sqrt(x)/ 2) + np.exp(-np.sqrt(x) / 2))\n",
    "\n",
    "def f2p(x):\n",
    "    return np.power(x, -3 / 2) * np.tanh(np.sqrt(x) / 2) / 8 + (1 - np.tanh(np.sqrt(x) / 2)) / (4 * np.sqrt(x))\n",
    "    \n",
    "xrange = np.linspace(0.1, 1, 100)\n",
    "y = xrange ** 2\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax2 = ax.twinx()\n",
    "l1 = ax.plot(xrange ** 2, f(xrange), label=\"$f(x)$\")\n",
    "l2 = ax2.plot(xrange, f2p(xrange), label=\"$f''(x)$\", c=\"tab:orange\")\n",
    "lines = l1 + l2\n",
    "labels = [l.get_label() for l in lines]\n",
    "plt.legend(lines, labels, fontsize=12);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Graphing the sigmoid lower bound\n",
    "\n",
    "$$\n",
    "    \\sigma(\\varepsilon)\\exp\\left((x - \\varepsilon) / 2 - \\lambda(\\epsilon)\\left[x^2 -  \\varepsilon^2\\right]\\right) \\leq \\sigma(x)\n",
    "$$\n",
    "\n",
    "With\n",
    "* $\\lambda(x) = \\frac{1}{4x}\\tanh\\left(\\frac{x}{2}\\right)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def lambda_v(x):\n",
    "    return np.tanh(x / 2) / (4 * x)\n",
    "\n",
    "def sigmoid_lb(x, eps):\n",
    "    return sigmoid(eps) * np.exp((x - eps) / 2 - lambda_v(eps) * (x ** 2 - eps ** 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 269,
       "width": 483
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "eps = 2.5\n",
    "xrange = np.linspace(-5, 5)\n",
    "epsilons = np.linspace(-5, 5, 30)\n",
    "for eps in epsilons:\n",
    "    plt.plot(xrange, sigmoid_lb(xrange, eps), c=\"tab:gray\", alpha=0.3)\n",
    "    \n",
    "plt.plot(xrange, sigmoid(xrange), linewidth=2)\n",
    "plt.grid()\n",
    "plt.xlim(-5, 5)\n",
    "plt.title(r\"$\\eta x^2 - g(\\eta) \\leq \\sigma(x)$\", fontsize=15);"
   ]
  }
 ],
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